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Finding the Third Proportional to 848,166 and 1,845,912

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Solution

The third proportional to 848,166 and 1,845,912 is: 4,017,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,166 : 1,845,912 = 1,845,912 : x
  2. Step 2: Convert to fraction form
    848,166/1,845,912 = 1,845,912/x
  3. Step 3: Cross multiply
    848,166x = 1,845,912 × 1,845,912
  4. Step 4: Simplify right side
    848,166x = 3,407,391,111,744
  5. Step 5: Solve for x
    x = 3,407,391,111,744/848,166
  6. Step 6: Final answer
    x = 4,017,363.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.